Economics: Home Inflation Rate One of the most important aspects in determining the strength of the economy is the inflation rate of homes. In economic terms, inflation is basically a rise in prices. A positive inflation rate (which is often an undesired economic phenomenon), can negatively affect housing prices. For example, if inflation is high, then interest rates for mortgage loans are high, which means fewer home buyers will be able to borrow money from the bank. Therefore, fewer buyers are in the market for a home, which often results in a chain reaction of fewer mortgage-financed home purchases, which may flatten economic growth. On the contrary, if inflation is low, then interest rates for mortgage loans decrease, which stimulates the economy because more home buyers are willing to borrow money from the bank; therefore, more buyers will be in the market for a home, leading to increased housing prices. A Financial Advisor is someone whose job is to calculate the inflation rates of homes. To calculate the inflation rate i of a home that increased or decreased from P1 original value) to P₂ (later value) over n years, the annual rate of inflation (expressed in decimal form) can be modeled as: - i = 1 The home pictured above was posted for sale in Orlando, FL (Source: Public Report Report). The owners bought the home in 2003 for $157,500. Eighteen years later, they finally decided to sell their home, asking for $339,000. Using this given formula and information, calculate the inflation rate of this home. Represent your answer as a percentage with 2 decimal places!

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Economics: Home Inflation Rate

One of the most important aspects in determining the strength of the economy is the inflation rate of homes. In economic terms, inflation is basically a rise in prices. A positive inflation rate (which is often an undesired economic phenomenon), can negatively affect housing prices. For example, if inflation is high, then interest rates for mortgage loans are high, which means fewer home buyers will be able to borrow money from the bank. Therefore, fewer buyers are in the market for a home, which often results in a chain reaction of fewer mortgage-financed home purchases, which may flatten economic growth.

On the contrary, if inflation is low, then interest rates for mortgage loans decrease, which stimulates the economy because more home buyers are willing to borrow money from the bank; therefore, more buyers will be in the market for a home, leading to increased housing prices.

A Financial Advisor is someone whose job is to calculate the inflation rates of homes. To calculate the inflation rate \( i \) of a home that increased or decreased from \( P_1 \) (original value) to \( P_2 \) (later value) over \( n \) years, the annual rate of inflation (expressed in decimal form) can be modeled as:

\[
i = \left( \frac{p_2}{p_1} \right)^{\frac{1}{n}} - 1
\]

The home pictured above was posted for sale in Orlando, FL (*Source: Public Report Report*). The owners bought the home in 2003 for $157,500. Eighteen years later, they finally decided to sell their home, asking for $339,000. **Using this given formula and information, calculate the inflation rate of this home.**

Represent your answer as a percentage with 2 decimal places!

Please note, there is an image of a typical suburban house with a driveway and lawn, suggesting a visual context for the economic concepts discussed.
Transcribed Image Text:Economics: Home Inflation Rate One of the most important aspects in determining the strength of the economy is the inflation rate of homes. In economic terms, inflation is basically a rise in prices. A positive inflation rate (which is often an undesired economic phenomenon), can negatively affect housing prices. For example, if inflation is high, then interest rates for mortgage loans are high, which means fewer home buyers will be able to borrow money from the bank. Therefore, fewer buyers are in the market for a home, which often results in a chain reaction of fewer mortgage-financed home purchases, which may flatten economic growth. On the contrary, if inflation is low, then interest rates for mortgage loans decrease, which stimulates the economy because more home buyers are willing to borrow money from the bank; therefore, more buyers will be in the market for a home, leading to increased housing prices. A Financial Advisor is someone whose job is to calculate the inflation rates of homes. To calculate the inflation rate \( i \) of a home that increased or decreased from \( P_1 \) (original value) to \( P_2 \) (later value) over \( n \) years, the annual rate of inflation (expressed in decimal form) can be modeled as: \[ i = \left( \frac{p_2}{p_1} \right)^{\frac{1}{n}} - 1 \] The home pictured above was posted for sale in Orlando, FL (*Source: Public Report Report*). The owners bought the home in 2003 for $157,500. Eighteen years later, they finally decided to sell their home, asking for $339,000. **Using this given formula and information, calculate the inflation rate of this home.** Represent your answer as a percentage with 2 decimal places! Please note, there is an image of a typical suburban house with a driveway and lawn, suggesting a visual context for the economic concepts discussed.
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